A complete survey of texture zeros in the lepton mass matrices

Abstract

We perform a systematic and complete analysis of texture zeros in the lepton mass matrices and identify all viable and maximally restrictive cases of pairs (M_\ell, M_D) and (M_\ell, M_L), where M_\ell, M_D and M_L are the charged-lepton, Dirac neutrino and Majorana neutrino mass matrices, respectively. To this end, we perform a thorough analysis of textures which are equivalent through weak-basis permutations. Furthermore, we introduce numerical measures for the predictivity of textures and apply them to the viable and maximally restrictive texture zero models. It turns out that for Dirac neutrinos these models can at most predict the smallest neutrino mass and the CKM-type phase of the mixing matrix. For Majorana neutrinos most models can, in addition, predict the effective neutrino mass for neutrinoless double beta decay. Apart from one model, which has marginal predictive power with respect to sin^2(theta_23), no other model can predict any of the already measured observables.

arXiv comment32 pages, 1 figure; corrections in the computer code, numerical analysis repeated, conclusions almost unchanged, changes in tables 9-14

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Cited by in corpus (53)

• Flavor structures of charged fermions and massive neutrinos
• Modular symmetry origin of texture zeros and quark lepton unification
• Minimal radiative Dirac neutrino mass models
• Neutrino mass matrices with one texture zero and a vanishing neutrino mass
• Confronting predictive texture zeros in lepton mass matrices with current data
• On the four-zero texture of quark mass matrices and its stability
• Observable Lepton Number Violation with Predominantly Dirac Nature of Active Neutrinos
• Mu-tau reflection symmetry with a texture-zero
• The $\mu$-$\tau$ mixed symmetry and neutrino mass matrix
• Simple A4 models for dark matter stability with texture zeros
• A complete survey of texture zeros in general and symmetric quark mass matrices
• Survey of Texture Zeros with Light Dirac Neutrinos
• Scotogenic dark matter and single-zero textures of the neutrino mass matrix
• Discriminating Majorana Neutrino Textures in the light of Baryon Asymmetry
• Probing Majorana Neutrino Textures at DUNE
• Dirac neutrinos in the 2HDM with restrictive Abelian symmetries
• Scaling ansatz with texture zeros in linear seesaw
• Hybrid Textures of Neutrino Mass Matrix under the Lamppost of Latest Neutrino and Cosmology Data
• Analysis of four-zero textures in $3+1$ framework
• Probing texture zeros with scaling ansatz in inverse seesaw
• Texture zeros of low-energy Majorana neutrino mass matrix in 3+1 scheme
• The other variants of mixed $\mu$-$\tau$ symmetry
• Evaluation of the Majorana Phases of a General Majorana Neutrino Mass Matrix: Testability of hierarchical Flavour Models
• Parametrization of the Yukawa matrix in the scotogenic model and single-zero textures of the neutrino mass matrix
• Texture zeros flavor neutrino mass matrix and triplet Higgs models
• How does Clifford algebra show the way to the second quantized fermions with unified spins, charges and families, and with vector and scalar gauge fields beyond the {\it standard model}
• Texture One Zero Dirac Neutrino Mass Matrix With Vanishing Determinant or Trace Condition
• Magic square and Dirac flavor neutrino mass matrix
• New textures for the lepton mass matrices
• Five Texture Zeros for Dirac Neutrino Mass Matrices
• Constrained Neutrino Mass Matrix and Majorana Phases
• Neutrino Mixing from a Fresh Perspective
• Maximally restrictive leptonic texture zeros in two-Higgs-doublet models
• A CP-violating phase in a two Higgs triplet scenario : some phenomenological implications
• Five texture zeros in the lepton sector and neutrino oscillations at DUNE
• New texture-zero models for lepton mixing
• The Texture One Zero Neutrino Mass Matrix With Vanishing Trace
• Neutrino mass matrices with three or four vanishing cofactors and non diagonal charged lepton sector
• Revisiting Majorana Neutrino Textures in the Light of Dark LMA
• Implications of the Dark-LMA solution for neutrino mass matrices
• Unveiling Neutrino Mysteries with $\Delta (27)$ Symmetry
• Modulated bimaximal neutrino mixing
• Implications of ${\delta }_l^{CP}\sim 270^{\circ }$ and ${\theta }_{23}\gtrsim 45^{\circ }$ for texture specific lepton mass matrices and $0\nu \beta \beta$ decay
• Magic square and three-zero textures for Dirac neutrinos
• Flavored Peccei-Quinn symmetries in the minimal $\nu$DFSZ model
• Quark Mass Matrices, textures and CKM precision measurements
• Minimal U(1) two-Higgs-doublet models for quark and lepton flavour
• Implications of CP invariants for flavoured hybrid neutrino mass matrix
• Is magic texture for Majorana neutrino immanent in Dirac nature?
• Modified TM2 for Reproducing All Best-Fit Values of Neutrino Mixing Angles
• Minimal structure for neutrino mass matrix
• Relating Lepton Mixing Angles with Lepton Mass Hierarchy
• Investigating two-zero texture in the light of gauged Type-II seesaw